A poker deck consists of fifty-two cards, representing thirteen denominations (2 through ace) and four suits (diamonds, hearts, clubs, and spades). A five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. Pictured below is a flush in hearts. Let N be the set of five cards in hearts that are not flushes. How many outcomes are in N
Answers
Answer:
10
Step-by-step explanation:
Let N represent the set of 5 hearts cards that are not flushes
From the image attached below; there are thirteen (13) denominations on deck
i.e. (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck
Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.
So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A
∴
[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]
Hence, the total no of outcome for N = 10
Related Questions
Help me with this question please please
Answers
Since 17u and 19u have the same variable all you have to do is add 17 and 19.
Triangle RST has vertices R(-3,2), S(0,-5),and T(4,5).When translated R’ has coordinates (4, 1). Find the coordinates of S’ and T’.
Answers
how do i get this area
Answers
Answer:
Step-by-step explanation:
you can think is a big rectangle with area
A= 5*6= 30
then subtract the area of the 2 triangles
30- 2(b*h/2) = 30- 6*2 = 30 -12 = 18 units ²
Here is a pattern of squares:
Step 1
Step 2
Step 3
Write an equation to represent the relationship between the step number and the
number of squares in the pattern.
Briefly describe how each part of the equation relates to the pattern.
Answers
9514 1404 393
Answer:
y = n^2 +nupper left corresponds to n^2; lower right corresponds to nStep-by-step explanation:
The number of squares in the upper left portion of the figure is the number in a square n on a side, so is n^2. The number of squares in the lower right portion of the figure is equal to the step number, n. A suitable equation adds these numbers together.
y = n^2 +n . . . . where y is the number of squares in the pattern of Step n.
Answer:Your answer is...
Step-by-step explanation:
y = n^2 +n
How would you graph
y = 2x - 1? , ILL MARK BRAINLIST
Answers
The one on the right
Answer:
Starts at negative 1 Y-axis, and then go yp 2 and 1 to the right
does anyone have the answer please I’m begging.
Answers
Answer:
B
Step-by-step explanation:
V = area of base * hight ; consider the base the triangle
V= (b*h of triangle /2 ) * h of figure
V= (6*8/2)*13 = 312 cm³
can you help me out I’ll mark brain list .
Answers
Answer:
Linear-
nonlinear
Linear
Step-by-step explanation:
the second one is linear
the third one is linear
just re-covered this in advanced algebra II :)
hope this helps
The table represents an exponential function.
What is the multiplicative rate of change of the function?
X
1
2.
у
2
2
5
3
2
25
2
2
5
125
Answers
Answer:
A. ⅕
Step-by-step explanation:
[tex] \frac{2}{5} [/tex] ÷ 2 = [tex] \frac{2}{5} * \frac{1}{2} = \frac{1}{5} [/tex]
[tex] \frac{2}{25} [/tex] ÷ 2/5 = [tex] \frac{2}{25} * \frac{5}{2} = \frac{1}{5} [/tex]
[tex] \frac{2}{125} [/tex] ÷ 2/25 = [tex] \frac{2}{125} * \frac{25}{2} = \frac{1}{5} [/tex]
Therefore, the multiplicative rate of change of the function would be ⅕
Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices
A.No answer text provided.
B.5z
C.4z3 + 5z2 + z
D.4z3 + 5z2
E.9z2 + z
Answers
at what points is the function y= cosx/4x continuous
Answers
Solve 4/3a+1/3a^2=1/3a
Answers
Answer:
A = 0 or -3
Step-by-step explanation:
You can confirm that by plugging in the numbers yourself :)
3) Use the situation to choose the correct answer.
A radioactive substance loses its mass at a rate of 12% every second. At the beginning
of an experiment, the substance has a mass of 6 centigrams.
After 5 seconds, how much mass is left of the radioactive substance? Round your
answer to the nearest hundredth centigram.
5.28 cg
03.17 cg
O 3.60 cg
O 0.72 cg
Answers
Answer: 3.60 cg
Step-by-step explanation:
just did the assignment
Determine whether each statement below is true or false. Justify each answer. a. The equation Axb is referred to as a vector equation. Choose the correct answer below. A. False. The equation Axb is referred to as a matrix equation because A is a matrix. B. True. The equation Axb is referred to as a vector equation because A is constructed from column vectors. C. True. The equation Axb is referred to as a vector equation because it consists of scalars multiplied by vectors. D. False. The equation Axb is referred to as a linear equation because b is a linear combination of vectors.
Answers
if f(2)=4, then f-1(4)= what?
Answers
Answer:
12
Step-by-step explanation:
f = 2
2(2) =4
2-1(4) = 12
Simplify: 3 5 power x 3-2power
Answers
Answer:
3 to the power of 5 is 243 and 3 to the power of 2 is 9 and
243 x 9 is 2187
Step-by-step explanation:
375 is 60% of what number
Answers
Answer:
625
Step-by-step explanation:
60% x x = 375
you would multiply both sides by 100 and divide both sides by 60 so
×=625
Hope this helps!
a box of oil paints contains 9 cans, each can is the same weight. if the box weighs 20.25 pounds, how much does each can weigh? and how many pounds if there were only 6 cans?
Answers
Step 1:
Find out what the weight is for one can by dividing
20.25/9 = 2.25
So one can is 2.25 pounds
Step 2:
Times one can by 6
2.25 x 6 = 13.5
Step 3:
Answers
One can is 2.25 pounds
Six cans is 13.5 pounds
Find the value of x.
PLEASE HELP this test is timed <3
Answers
Answer:
19
Step-by-step explanation:
180 - 123 = 57
57/3 = 19
hope this helps
A deposit that is compounded semiannually at 8% for 4 years has a table value of 0.73503 true or false
Answers
Answer:
FALSE
Step-by-step explanation:
This answer is false. The interest rate per period is 4% (8% / 2), and the total number of compounding periods is 8 (4 years x 2 periods per year).
Therefore, find the intersection of 4% and 8, which is 0.73069.
Please help!!!!!!! 100 points
Answers
Answer:
ur missing:
images
materials list
sequential steps
title
Step-by-step explanation:
I was also looking for an answer lol!
Simplify
6sqrt20 + 8sqrt5 – 5sqrt45
Answers
Answer:
5√5Step-by-step explanation:
Simplify
6√20 + 8√5 - 5√45 = 6√4(5) + 8√5 - 5√9(5) =6(2)√5 + 8√5 - 5(3)√5 = (12 + 8 - 15)√5 =5√5Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
Answers
Answer:
The equation is given by:
[tex]D(t) = 80 + 9\sin{0.2618t}[/tex]
Step-by-step explanation:
Sine function:
Has the following format:
[tex]y = A\sin{bx}[/tex]
In which A is the amplitude and [tex]\frac{2\pi}{b}[/tex] is the period.
Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees
This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that [tex]A = 9[/tex]
During a 24-hour day, which means that the period is 24. So
[tex]\frac{2\pi}{b} = 24[/tex]
[tex]24b = 2\pi[/tex]
[tex]b = \frac{2\pi}{24}[/tex]
[tex]b = 0.2618[/tex]
So the variation is:
[tex]V(t) = 9\sin{0.2618t}[/tex]
Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
Initial temperature of 80, so:
[tex]D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}[/tex]
x-1=y what is the answer plz give me the answer
Answers
Answer:
X = 0Y = 1First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .
To draw a line you need two of its points, which you can connect.
To find two points, you can plug any value for one variable, and solve for the other.
For example, let's choose
x=0 . The equation becomes
0−1=y , and so y=−1 .
The first point is thus (0,−1).
Then, let's choose
x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus
(1,0).
Now you only need to draw the points
(0,−1)
Step-by-step explanation:
Hope it is helpful...
Keith is a gardener and he can plant 40 bushes in 8 hours. How many bushes can he plant in 2 hours?
Answers
Answer:
Keith can plant 10 bushes in 2 hours
Step-by-step explanation:
40 divided by 8 is 5 and 5 times 2 is 10.
5% of what is 5 please help it's due today
Answers
Slope please help me find it need done today
Answers
Answer:
5. - 1/9
6. 4
7. 5
8. 5
Step-by-step explanation:
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.38. Using the empirical rule, what percentage of the students have grade point averages that are between 1.42 and 3.7?
Answers
Answer:
99.7% of the students have grade point averages that are between 1.42 and 3.7
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 2.56 and standard deviation of 0.38.
Using the empirical rule, what percentage of the students have grade point averages that are between 1.42 and 3.7?
1.42 = 2.56 - 3*0.38
3.7 = 2.56 + 3*0.38
So both these scores are within 3 standard deviations of the mean, which means that 99.7% of the students have grade point averages that are between 1.42 and 3.7
A circle had a radius 20 cm. What is the area?
Answers
Answer:
use formula πr^2
Step-by-step explanation:
the area is 1257.14cm^2
Aimee can read 24 pages in 40 minutes. How many pages per hour can Aimee read?
A) 0.6 pages per hour
B) 36 pages per hour
C) 48 pages per hour
D) 60 pages per hour
Answers
In the expression 85x - 99 what represents the coefficient?
Answers
Answer:
la aplicacion me gusta mucho la verdad